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Finding the Third Proportional to 142,977.75 and 282,366.75

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Solution

The third proportional to 142,977.75 and 282,366.75 is: 557,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,977.75 : 282,366.75 = 282,366.75 : x
  2. Step 2: Convert to fraction form
    142,977.75/282,366.75 = 282,366.75/x
  3. Step 3: Cross multiply
    142,977.75x = 282,366.75 × 282,366.75
  4. Step 4: Simplify right side
    142,977.75x = 79,730,981,505.56
  5. Step 5: Solve for x
    x = 79,730,981,505.56/142,977.75
  6. Step 6: Final answer
    x = 557,646.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.